Các trường hợp bằng nhau của tam giác vuông

Home Lớp 7 Toán lớp 7 - Sách kết nối tri thức Bài 15: Các trường hợp bằng nhau của tam giác vuông.Bài tập trung bình

{"common":{"save":0,"post_id":"5702","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7369","post_id":"5702","mon_id":"1158532","chapter_id":"1158548","question":"Cho tam giác EGH và tam giác MNP có $\\widehat{E}=\\widehat{N}$<\/span> = 90º , EG = NM = 9 , EH = 12  , GH = 15 . C\u1ea7n thêm \u0111i\u1ec1u ki\u1ec7n gì \u0111\u1ec3 hai tam giác vuông này b\u1eb1ng nhau theo tr\u01b0\u1eddng h\u1ee3p hai c\u1ea1nh góc vuông?<\/p>","options":["A. <\/strong>NP = 12","B. <\/strong>NP = 15","C. <\/strong>MP = 12","D.<\/strong> MP = 15"],"correct":"1","level":"2","hint":"N\u1ebfu hai c\u1ea1nh góc vuông c\u1ee7a tam giác vuông này l\u1ea7n l\u01b0\u1ee3t b\u1eb1ng hai c\u1ea1nh góc vuông c\u1ee7a tam giác vuông kia thì hai tam giác vuông \u0111ó b\u1eb1ng nhau.<\/p>","answer":"<svg height=\"180\" width=\"310\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"182\" id=\"canvas_background\" width=\"312\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <g id=\"svg_26\"> <g id=\"svg_6\"> <g id=\"svg_4\"> <line fill=\"none\" id=\"svg_1\" 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font-size=\"14\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"10\" xml:space=\"preserve\" y=\"16.14236\">H<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"134\" xml:space=\"preserve\" y=\"166.14236\">G<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"162\" xml:space=\"preserve\" y=\"166.14236\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"159\" xml:space=\"preserve\" y=\"16.14236\">P<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"289\" xml:space=\"preserve\" y=\"166.14236\">M<\/text> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_19\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(90 71.99999999999999,154.14236450195315) \" x1=\"67\" x2=\"77\" y1=\"154.14236\" y2=\"154.14236\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_20\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(90 222,154.14236450195315) \" x1=\"217\" x2=\"227\" y1=\"154.14236\" y2=\"154.14236\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_21\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"70\" xml:space=\"preserve\" y=\"176.14236\">9<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_22\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"224\" xml:space=\"preserve\" y=\"171.14236\">9<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_24\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"89\" xml:space=\"preserve\" y=\"86.14236\">15<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_25\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"3\" xml:space=\"preserve\" y=\"94.14236\">12<\/text> <\/g> <\/g> <\/svg><\/span><\/p>Xét hai tam giác EGH (vuông t\u1ea1i E) và MNP (vuông t\u1ea1i N) có c\u1eb7p c\u1ea1nh góc vuông b\u1eb1ng nhau là EG = NM = 9 (gi\u1ea3 thi\u1ebft). \u0110\u1ec3 hai tam giác này b\u1eb1ng nhau theo tr\u01b0\u1eddng h\u1ee3p hai c\u1ea1nh góc vuông thì c\u1ea7n thêm m\u1ed9t c\u1eb7p c\u1ea1nh góc vuông n\u1eefa b\u1eb1ng nhau, t\u1ee9c là  EH = NP <\/p>⇒ NP = 12<\/p>\u0110áp án \u0111úng là   A. <\/strong>NP = 12<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-24 02:57:24","option_type":"txt","len":0},{"id":"7370","post_id":"5702","mon_id":"1158532","chapter_id":"1158548","question":"Cho tam giác EGH và tam giác MNP có $\\widehat{E}=\\widehat{N}$<\/span> = 90º , EG = NM = 9 , EH = 12  , GH = 15 . C\u1ea7n thêm \u0111i\u1ec1u ki\u1ec7n gì \u0111\u1ec3 hai tam giác vuông này b\u1eb1ng nhau theo tr\u01b0\u1eddng h\u1ee3p c\u1ea1nh huy\u1ec1n - c\u1ea1nh góc vuông?<\/p>","options":["A. <\/strong>NP = 12","B.<\/strong> NP = 15","C.<\/strong> MP = 12","D.<\/strong> MP = 15"],"correct":"4","level":"2","hint":"N\u1ebfu c\u1ea1nh huy\u1ec1n và m\u1ed9t c\u1ea1nh góc vuông c\u1ee7a tam giác vuông này b\u1eb1ng c\u1ea1nh huy\u1ec1n và m\u1ed9t c\u1ea1nh góc vuông c\u1ee7a tam giác vuông kia thì hai tam giác vuông \u0111ó b\u1eb1ng nhau.<\/p>","answer":"<svg height=\"180\" width=\"310\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"182\" id=\"canvas_background\" width=\"312\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <g id=\"svg_26\"> <g id=\"svg_6\"> <g id=\"svg_4\"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"23\" x2=\"23\" y1=\"13.14236\" y2=\"154.14236\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"23\" x2=\"144.99999\" y1=\"153.14236\" y2=\"153.14236\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"23\" x2=\"145\" y1=\"12.14236\" y2=\"153\"><\/line> <\/g> <rect fill=\"none\" fill-opacity=\"null\" height=\"12\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"12\" x=\"23\" y=\"141.14236\"><\/rect> <\/g> <g id=\"svg_12\"> <g id=\"svg_10\"> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"170\" 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<text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"289\" xml:space=\"preserve\" y=\"166.14236\">M<\/text> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_19\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(90 71.99999999999999,154.14236450195315) \" x1=\"67\" x2=\"77\" y1=\"154.14236\" y2=\"154.14236\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_20\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(90 222,154.14236450195315) \" x1=\"217\" x2=\"227\" y1=\"154.14236\" y2=\"154.14236\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_21\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"70\" xml:space=\"preserve\" y=\"176.14236\">9<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_22\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"224\" xml:space=\"preserve\" y=\"171.14236\">9<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_24\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"89\" xml:space=\"preserve\" y=\"86.14236\">15<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_25\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"3\" xml:space=\"preserve\" y=\"94.14236\">12<\/text> <\/g> <\/g> <\/svg><\/span><\/p>Xét hai tam giác EGH (vuông t\u1ea1i E) và MNP (vuông t\u1ea1i N) có c\u1eb7p c\u1ea1nh góc vuông b\u1eb1ng nhau là EG = NM = 9 (gi\u1ea3 thi\u1ebft). \u0110\u1ec3 hai tam giác này b\u1eb1ng nhau theo tr\u01b0\u1eddng h\u1ee3p c\u1ea1nh huy\u1ec1n - c\u1ea1nh góc vuông thì c\u1ea7n thêm c\u1eb7p c\u1ea1nh huy\u1ec1n b\u1eb1ng nhau, t\u1ee9c là GH = MP.<\/p>⇒ MP = 15<\/p>\u0110áp án \u0111úng là  D.<\/strong> MP = 15<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-24 03:14:16","option_type":"txt","len":0},{"id":"7372","post_id":"5702","mon_id":"1158532","chapter_id":"1158548","question":"Cho tam giác EGH và tam giác MNP có $\\widehat{E}=\\widehat{N}$<\/span> = 90º , EG = NM = 9 , EH = 12  , GH = 15 , $\\widehat{M} = $<\/span>  53º . C\u1ea7n thêm \u0111i\u1ec1u ki\u1ec7n gì \u0111\u1ec3 hai tam giác vuông này b\u1eb1ng nhau theo tr\u01b0\u1eddng h\u1ee3p c\u1ea1nh góc vuông - góc nh\u1ecdn k\u1ec1?<\/p>","options":["A.<\/strong> MP = 15","B. <\/strong>NP = 12","C.<\/strong> $\\widehat{H}=53^0$<\/span>","D.<\/strong> $\\widehat{G}=53^0$<\/span>"],"correct":"4","level":"2","hint":"N\u1ebfu m\u1ed9t c\u1ea1nh góc vuông và góc nh\u1ecdn k\u1ec1 c\u1ea1nh \u1ea5y c\u1ee7a tam giác vuông này b\u1eb1ng m\u1ed9t c\u1ea1nh góc vuông và góc nh\u1ecdn k\u1ec1 c\u1ea1nh \u1ea5y c\u1ee7a tam giác vuông kia thì hai tam giác vuông \u0111ó b\u1eb1ng nhau.<\/p>","answer":" <svg height=\"170\" width=\"280\"> <g><title><\/title><rect fill=\"#fff\" height=\"172\" id=\"canvas_background\" width=\"282\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_4\" transform=\"rotate(90 71.96975708007812,75.90463256835939) \"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"14.30625\" x2=\"129\" y1=\"118.45\" y2=\"118.45\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(-37 72.65312194824217,75.4499969482422) \" x1=\"1.30625\" x2=\"144\" y1=\"75.45\" y2=\"75.45\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(90 129.15312194824222,76.4499969482422) \" x1=\"86.30625\" x2=\"172\" y1=\"76.45\" y2=\"76.45\"><\/line> <\/g> <g id=\"svg_8\" transform=\"rotate(90 220.96975708007812,75.9046325683594) \"> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"undefined\" 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fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"16.30625\" xml:space=\"preserve\" y=\"156.45\">E<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"165.30625\" xml:space=\"preserve\" y=\"155.45\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"254.30625\" xml:space=\"preserve\" y=\"152.45\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"110.30625\" xml:space=\"preserve\" y=\"151.45\">G<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"10.30625\" xml:space=\"preserve\" y=\"27.45\">H<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"161.30625\" xml:space=\"preserve\" y=\"25.45\">P<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"221.30625\" xml:space=\"preserve\" y=\"129.45\">53<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"13\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"240.30625\" xml:space=\"preserve\" y=\"121.45\">0<\/text> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_19\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"73.30625\" x2=\"71.30625\" y1=\"126.45\" y2=\"140.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_20\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"213.30625\" x2=\"212.30625\" y1=\"126.45\" y2=\"139.45\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_21\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"7.30625\" xml:space=\"preserve\" y=\"81.45\">12<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_22\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"80.30625\" xml:space=\"preserve\" y=\"75.45\">15<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_23\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"66.30625\" xml:space=\"preserve\" y=\"155.45\">9<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_24\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"212.30625\" xml:space=\"preserve\" y=\"156.45\">9<\/text> <\/g> <\/svg><\/span><\/p>Xét hai tam giác EGH (vuông t\u1ea1i E) và MNP (vuông t\u1ea1i N) có c\u1eb7p c\u1ea1nh góc vuông b\u1eb1ng nhau là EG = NM = 9 (gi\u1ea3 thi\u1ebft). \u0110\u1ec3 hai tam giác này b\u1eb1ng nhau theo tr\u01b0\u1eddng h\u1ee3p c\u1ea1nh góc vuông - góc nh\u1ecdn k\u1ec1 thì c\u1ea7n thêm c\u1eb7p góc nh\u1ecdn k\u1ec1 hai c\u1ea1nh góc vuông EG và NM b\u1eb1ng nhau, t\u1ee9c là  $\\widehat{G}=\\widehat{M}$<\/span> .<\/p>Suy ra  $\\widehat{G}$<\/span> = 53º<\/p>\u0110áp án \u0111úng là  D.<\/strong> $\\widehat{G}=53^0$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-24 03:25:08","option_type":"math","len":0}]}